| 时变双曲型线性发展方程的强解 |
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| 引用本文： | 汤小燕,项筱玲.时变双曲型线性发展方程的强解[J].贵州大学学报(自然科学版),2007,24(5):450-456. |
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| 作者姓名： | 汤小燕 项筱玲 |
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| 作者单位： | 1. 贵州大学理学院,数学系,贵州,贵阳,550025;遵义师范学院,贵州,遵义,563000
2. 贵州大学理学院,数学系,贵州,贵阳,550025 |
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| 摘 要： | 研究了一类时变双曲型初值问题。引进一类更便于应用的广义解—强解,证明强解的存在性和唯一性,同时,给出强解与Y值解、温和解之间的关系。
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| 关 键 词： | 双曲型发展方程 发展系统 算子族的稳定性 Y值解 古典解 强解 |
| 文章编号： | 1000-5269（2007）05-0450-07 |
| 修稿时间： | 2007-05-22 |
The solution of the linear evolution equations in the hyperbolic case |
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| TANG Xiao-yan,XIANG Xiao-ling.The solution of the linear evolution equations in the hyperbolic case[J].Journal of Guizhou University(Natural Science),2007,24(5):450-456. |
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| Authors: | TANG Xiao-yan XIANG Xiao-ling |
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| Institution: | Mathematic Department of Science College, Guizhou University, Guiyang 550025, China |
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| Abstract: | In this paper,a class of initial value problems in the hyperbolic case are concerned.Introducing the proper generalized solution-the strong solution,we prove the existence and uniqueness of the strong solution.At the same time,the relation between the strong solution and Y-valued solution(the strong solution and the mild solution)is given. |
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| Keywords: | Evolution equations in the hyperbolic case Evolution systems Stability of a class of operators Y-valued solution Classical solution Strong solution |
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